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Finding the Fourth Proportional to 120,148.50, 165,726.82 and 77,059.74

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Solution

The fourth proportional to 120,148.50, 165,726.82 and 77,059.74 is: 106,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,148.50 : 165,726.82 = 77,059.74 : x
  2. Step 2: Convert to fraction form
    120,148.50/165,726.82 = 77,059.74/x
  3. Step 3: Cross multiply
    120,148.50x = 165,726.82 × 77,059.74
  4. Step 4: Simplify right side
    120,148.50x = 12,770,865,274.93
  5. Step 5: Solve for x
    x = 12,770,865,274.93/120,148.50
  6. Step 6: Final answer
    x = 106,292.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.